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78080832 = 2632283479
BaseRepresentation
bin1001010011101…
…10101101000000
312102220220202200
410221312231000
5124442041312
611425313200
71635450624
oct451665500
9172826680
1078080832
1140090315
1222195800
131323a99b
14a527184
156cc50dc
hex4a76b40

78080832 has 84 divisors (see below), whose sum is σ = 225064320. Its totient is φ = 25880832.

The previous prime is 78080831. The next prime is 78080833. The reversal of 78080832 is 23808087.

It is an interprime number because it is at equal distance from previous prime (78080831) and next prime (78080833).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78080831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162769 + ... + 163247.

Almost surely, 278080832 is an apocalyptic number.

78080832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112532160).

78080832 is an abundant number, since it is smaller than the sum of its proper divisors (146983488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78080832 is a wasteful number, since it uses less digits than its factorization.

78080832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 78080832 is about 8836.3358922123. The cubic root of 78080832 is about 427.4134101838.

The spelling of 78080832 in words is "seventy-eight million, eighty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 283 288 479 566 576 849 958 1132 1437 1698 1916 2264 2547 2874 3396 3832 4311 4528 5094 5748 6792 7664 8622 9056 10188 11496 13584 15328 17244 18112 20376 22992 27168 30656 34488 40752 45984 54336 68976 81504 91968 135557 137952 163008 271114 275904 406671 542228 813342 1084456 1220013 1626684 2168912 2440026 3253368 4337824 4880052 6506736 8675648 9760104 13013472 19520208 26026944 39040416 78080832